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Simplifying 14 + 12w = -16 + 9w Solving 14 + 12w = -16 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 14 + 12w + -9w = -16 + 9w + -9w Combine like terms: 12w + -9w = 3w 14 + 3w = -16 + 9w + -9w Combine like terms: 9w + -9w = 0 14 + 3w = -16 + 0 14 + 3w = -16 Add '-14' to each side of the equation. 14 + -14 + 3w = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = -16 + -14 3w = -16 + -14 Combine like terms: -16 + -14 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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